what is the prime factorization of 54
1 * ? = 54
2 * ? = 54
3 * ? = 54
Can you find any more factors?
To find the prime factorization of 54, we need to break it down into its prime factors. Prime factors are prime numbers that divide evenly into a given number.
To start, we can divide 54 by the smallest prime number, which is 2. Since 54 is an even number, it is divisible by 2.
54 ÷ 2 = 27
Now we have the number 27. Let's continue dividing by prime numbers. The next prime number is 3.
27 ÷ 3 = 9
Now we have 9. Dividing by 3 again:
9 ÷ 3 = 3
At this point, we have reached a prime number, which is 3.
So the prime factorization of 54 is: 2 × 3 × 3 × 3, or written in exponent form: 2 × 3^3.